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Created page with "'''42EDT''' is the equal division of the third harmonic into 42 parts of 45.2846 cents each, corresponding to 26.4990 edo. It is contorted in the no-twos..." Tags: Mobile edit Mobile web edit |
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'''42EDT''' is the [[Edt|equal division of the third harmonic]] into 42 parts of 45.2846 [[cent|cents]] each, corresponding to 26.4990 [[edo]]. It is contorted in the no-twos 17-limit, tempering out 77/75, 119/117, 147/143, 169/165, and 245/243. Using the patent val, it tempers out 363/361 in the 19-limit; 117/115, 119/115, 255/253, 299/297, and 391/375 in the 23-limit (no-twos subgroup). It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\53 of an octave. | '''42EDT''' is the [[Edt|equal division of the third harmonic]] into 42 parts of 45.2846 [[cent|cents]] each, corresponding to 26.4990 [[edo]]. It is [[contorted]] (or [[enfactored]]) in the no-twos 17-limit, tempering out 77/75, 119/117, 147/143, 169/165, and 245/243. Using the patent val, it tempers out 363/361 in the 19-limit; 117/115, 119/115, 255/253, 299/297, and 391/375 in the 23-limit (no-twos subgroup). It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\53 of an octave. | ||
Lookalikes: [[53ed4|53ED4]] | Lookalikes: [[53ed4|53ED4]] | ||
Revision as of 19:45, 29 September 2021
42EDT is the equal division of the third harmonic into 42 parts of 45.2846 cents each, corresponding to 26.4990 edo. It is contorted (or enfactored) in the no-twos 17-limit, tempering out 77/75, 119/117, 147/143, 169/165, and 245/243. Using the patent val, it tempers out 363/361 in the 19-limit; 117/115, 119/115, 255/253, 299/297, and 391/375 in the 23-limit (no-twos subgroup). It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\53 of an octave.
Lookalikes: 53ED4